Work done on a superconductor

Electricity and Magnetism Level 3

A superconducting (zero resistance) ring of radius $R=2~\mbox{cm}$ and self inductance $L=0.5~\mbox{nH}$ is located in a region of zero magnetic field. A current $I_{0}=0.1~\mbox{A}$ circulates around the ring as shown in the figure below. What minimum work in Joules must be done on the ring to fully immerse it in a region with a uniform magnetic field $B=0.1~\mbox{T}$ (directed into the page)?

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Work done on a superconductor

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 7 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.